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dc.contributor.authorLoisel, Sébastien
dc.contributor.authorMaxwell, Peter
dc.date.accessioned2019-01-16T10:02:12Z
dc.date.available2019-01-16T10:02:12Z
dc.date.created2018-12-16T03:15:01Z
dc.date.issued2018
dc.identifier.citationSIAM Journal on Matrix Analysis and Applications. 2018, 39 (4), 1726-1749.nb_NO
dc.identifier.issn0895-4798
dc.identifier.urihttp://hdl.handle.net/11250/2580826
dc.description.abstractWe describe a novel and efficient algorithm for calculating the field of values boundary, $\partial\textrm{W}(\cdot)$, of an arbitrary complex square matrix: the boundary is described by a system of ordinary differential equations which are solved using Runge--Kutta (Dormand--Prince) numerical integration to obtain control points with derivatives then finally Hermite interpolation is applied to produce a dense output. The algorithm computes $\partial\textrm{W}(\cdot)$ both efficiently and with low error. Formal error bounds are proven for specific classes of matrix. Furthermore, we summarise the existing state of the art and make comparisons with the new algorithm. Finally, numerical experiments are performed to quantify the cost-error trade-off between the new algorithm and existing algorithms.nb_NO
dc.language.isoengnb_NO
dc.publisherSociety for Industrial and Applied Mathematicsnb_NO
dc.titlePath-Following Method to Determine the Field of Values of a Matrix with High Accuracynb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionpublishedVersionnb_NO
dc.source.pagenumber1726-1749nb_NO
dc.source.volume39nb_NO
dc.source.journalSIAM Journal on Matrix Analysis and Applicationsnb_NO
dc.source.issue4nb_NO
dc.identifier.doi10.1137/17M1148608
dc.identifier.cristin1643716
dc.relation.projectNorges forskningsråd: 249740nb_NO
dc.description.localcode© 2018, Society for Industrial and Applied Mathematicsnb_NO
cristin.unitcode194,64,25,0
cristin.unitnameInstitutt for energi- og prosessteknikk
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2


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